462717216 has 144 divisors (see below), whose sum is σ = 1437331896. Its totient is φ = 140341248.

The previous prime is 462717193. The next prime is 462717221. The reversal of 462717216 is 612717264.

462717216 is a `hidden beast` number, since 4 + 627 + 1 + 7 + 21 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 309056400 + 153660816 = 17580^2 + 12396^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272466 + ... + 274158.

Almost surely, 2^462717216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462717216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718665948).

462717216 is an abundant number, since it is smaller than the sum of its proper divisors (974614680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

462717216 is a wasteful number, since it uses less digits than its factorization.

462717216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1784 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 462717216 is about 21510.8627442044. The cubic root of 462717216 is about 773.4612359462.

The spelling of 462717216 in words is "four hundred sixty-two million, seven hundred seventeen thousand, two hundred sixteen".